# CBSE Class 11th Motion in a plane with constant acceleration Details & Preparations Downloads

**Motion in a plane with constant acceleration:**

The study of motion is called mechanics. The study of motion has two parts: kinematics and dynamics. From kinematics, the equation of motion is obtained. A body under uniform acceleration is considered here. A body has two kinds of acceleration. One is the change in velocity, while the other is a change in direction. In this case, the acceleration is uniform and constant. This blog is about Motion in a Plane with constant acceleration wherein we will study Motion in a Plane, acceleration, constant acceleration, formula, and some sample problems.

**Motion in a Plane**

Motion in a Plane is the Motion in two dimensions that requires a two-coordinate system, such as an X-Y coordinate system. An instance of such movement is in the path of a projectile or circular motion.

A common example of motion in a plane is that of projectile motion. In terms of physics, an object in flight is said to be in uniform (unaccelerated) motion if the speed it’s traveling at is unchanging over time.

**Acceleration**

Acceleration is the rate of change of an object’s velocity. Acceleration can be either constant or varying over time and in the case of constant acceleration, its value is a combination of the net change in velocity and total time over which this occurred. It is also called average acceleration.

**Constant acceleration**

Constant acceleration is a type of acceleration in which the rate of change of velocity remains constant with time. In this case, if one were to graph the movement of an object, it would appear as a straight line. Since acceleration is a vector quantity and motion is always in a single direction, it does not matter whether speed or distance are used as the identification for a vector.

Also, since all vectors have magnitude (how much they move), it can be said that with constant acceleration, physical change isn’t gradually changing directions but rather “speeding up or slowing down while keeping in the same direction indefinitely.”

**Constant acceleration formula or equations:**

Keeping the value of acceleration constant, the equation of motion can be described. Let’s say the original haste of an object was “ u”, now a constant force is applied which causes the body to move with constant acceleration “ a” and the body reaches the haste in time “ t” while covering the distance “ s”.

**First Equation of Motion**

In the case of constant acceleration, its value is given by,

v = u + at

**Second Equation of Motion **

Instantaneous velocity is given by,

v =ds/dt

This equation can be rearranged in the following form,

ds = v*dt

Substituting the value of velocity we get,

ds = (u+at)dt

Integrating both sides we will get,

s = ut + 1/ 2 at2

**Third Equation of Motion**

Instantaneous acceleration and instantaneous velocity is given by,

a = dv/dt

v = ds/dt

Cross multiplying both of these equations we will get,

adsdt = v dvdt

a ds = v dv

After integration we will get

a s = v2 – u22

v2 = u2 + 2as

**CBSE Class 11th Downloadable Resources: **

1. CBSE Class 11th Topic Wise Summary | View Page / Download |

2. CBSE Class 11th NCERT Books | View Page / Download |

3. CBSE Class 11th NCERT Solutions | View Page / Download |

4. CBSE Class 11th Exemplar | View Page / Download |

5. CBSE Class 11th Previous Year Papers | View Page / Download |

6. CBSE Class 11th Sample Papers | View Page / Download |

7. CBSE Class 11th Question Bank | View Page / Download |

8. CBSE Class 11th Topic Wise Revision Notes | View Page / Download |

9. CBSE Class 11th Last Minutes Preparation Resources | View Page / Download |

10. CBSE Class 11th Best Reference Books | View Page / Download |

11. CBSE Class 11th Formula Booklet | View Page / Download |

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Below is the list of all CBSE class 11th Downloads available on TestprepKart for both Indian and NRI students preparing for CBSE class 11th in UAE, Oman, Qatar, Kuwait & Bahrain.** **

**SAMPLE PRACTICE QUESTIONS OF SIGNIFICANT FIGURES :**

**Q1. What is Motion in a Plane with Constant Acceleration?**

Answer: Motion in a plane with constant acceleration refers to the movement of an object in a two-dimensional space where its acceleration remains constant. This scenario is often analyzed using kinematic equations to describe the object's position, velocity, and acceleration.

**Q2. How is Motion in a Plane Different from Motion in a Straight Line?**

Answer: Motion in a plane involves movement along two perpendicular axes (x and y), introducing the concept of vectors. In contrast, motion in a straight line occurs along a single axis (typically x), simplifying the analysis.

**Q3. What Are the Key Variables in Describing Motion in a Plane?**

Answer: The key variables include position (r), velocity (v), and acceleration (a), each having components in both the x and y directions.

**Q4. How are Position and Displacement Related in Two Dimensions?**

Answer: Displacement in two dimensions is a vector quantity represented by Δr, the change in position vector r. It is the straight-line path between the initial and final positions.

**Q5. Can the Equations of Motion in a Plane be Applied to Projectile Motion?**

Answer: Yes, the equations of motion in a plane are commonly applied to analyze projectile motion. Projectile motion involves both horizontal and vertical components of motion under the influence of gravity.

Class 11th CBSE Physics Chapters |

Chapter1: UNITS AND MEASUREMENTS |

Chapter2: MOTION IN A STRAIGHT LINE |

Chapter3: MOTION IN A PLANE |

> Introduction |

> Scalars and vectors |

> Multiplication of vectors by real numbers |

> Addition and subtraction of vectors – graphical method |

> Resolution of vectors |

> Vector addition – analytical method |

> Motion in a plane |

> Uniform circular motion |

Chapter4: LAWS OF MOTION |

Chapter5: WORK, ENERGY AND POWER |

Chapter6: SYSTEM OF PARTICLES AND ROTATIONAL MOTION |

Chapter7: GRAVITATION |

Chapter8: MECHANICAL PROPERTIES OF SOLIDS |

Chapter9: MECHANICAL PROPERTIES OF FLUIDS |

Chapter10: THERMAL PROPERTIES OF MATTER |

Chapter12: KINETIC THEORY |

Chapter13: OSCILLATIONS |

Chapter14: WAVES |

Class 11th CBSE Chemistry Chapters |

Chapter1: SOME BASIC CONCEPTS OF CHEMISTRY |

Chapter2: STRUCTURE OF ATOMS |

Chapter3: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES |

Chapter4: CHEMICAL BONDING AND MOLECULAR STRUCTURE |

Chapter5: THERMODYNAMICS |

Chapter6: EQUILIBRIUM |

Chapter7: REDOX REACTIONS |

Chapter8: ORGANIC CHEMISTRY - SOME BASIC PRINCIPLE AND TECHNIQUES |

Chapter9: Hydrocarbons HYDROCARBONS |

Class 11th CBSE Mathematics chapter |

Chapter1: SETS |

Chapter2: RELATIONS AND FUNCTIONS |

Chapter3: TRIGONOMETRIC FUNCTIONS |

Chapter4: COMPLEX NUMBER AND QUADRATIC EQUATIONS |

Chapter5: LINEAR INEQUALITIES |

Chapter6: PERMUTATIONS AND COMBINATIONS |

Chapter7: BINOMIAL THEOREM |

Chapter8: SEQUENCES AND SERIES |

Chapter9: STRAIGHT LINES |

Chapter10: CONIC SECTIONS |

Chapter11: INTRODUCTION TO THREE-DIMENSIONAL GEOMETRY |

Chapter12: LIMITS AND DERIVATIVES |

Chapter13: STATISTICS |

Chapter14: PROBABILITY |

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